User Account

All Pages

Stone game, C/C++ Programming

Assignment Help:
A game is played with three piles of stones and two players. At her turn, a player removes one or more stones from the piles. However, if she takes stones from more than one pile, she must remove the same number of stones from each of the selected piles.
In other words, the player chooses some N>0 and removes:
? N stones from any single pile; or ? N stones from each of any two piles (2N total); or ? N stones from each of the three piles (3N total).
The player taking the last stone(s) wins the game.
A winning configuration is one where the first player can force a win. For example, (0,0,13), (0,11,11) and (5,5,5) are winning configurations because the first player can immediately remove all stones.
A losing configuration is one where the second player can force a win, no matter what the first player does. For example, (0,1,2) and (1,3,3) are losing configurations: any legal move leaves a winning configuration for the second player. Consider all losing configurations (xi,yi,zi) where xi = yi = zi = 100. We can verify that S(xi+yi+zi) = 173895 for these.
Find S(xi+yi+zi) where (xi,yi,zi) ranges over the losing configurations with xi = yi = zi = 1000.

Related Discussions:- Stone game

What if one can''t wrap the local in an artificial block?, What if one can'...

What if one can''t wrap the local in an artificial block?

Define generic bitwise operations, Define Generic Bitwise Operations? ...

Define Generic Bitwise Operations? Bitwise operators only work on an incomplete number of types int and char. It turns out there's above one kind of int. In particular there's

What is friend functions, Friend Functions One of the major features of...

Friend Functions One of the major features of OOP is information hiding. A class encapsulates data and methods to operate on that data in a single unit. The data from the class

Luminous jewel polishing necklace, luminous jewel polishing necklace, c/c++...

luminous jewel polishing necklace, c/c++ programming

Control structures in cpp, Control structures The control structures app...

Control structures The control structures appear in both structured programming languages as well as object oriented programming languages.  The three constructs used are: i)

Default constructor, What is default constructor? explain it.

What is default constructor? explain it.

Explain the function of five elements that are on a, explain the function o...

explain the function of five elements that are found on a motherboard#

Type cast operator, What is  T y pe C a s t Op er a t o r :...

What is  T y pe C a s t Op er a t o r :   T h e f l o a t c a n b e c o n v e r t e d t o i n t e g e r v a l u

Lua and C++ sprite animation, How would I use variables of a C++ object wit...

How would I use variables of a C++ object within a Lua function, and then call the Lua function from C++ code?

What is abstraction?, What is abstraction? - Simplified view of an obje...

What is abstraction? - Simplified view of an object in user's language is termed as abstraction. - It's the simplest, well-defined interface to an object in OO and C++ which

Write Your Message!

Captcha
Order Assignment

Featured Services

Order Now

Popular Subjects

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +91-977-207-8620

Phone: +91-977-207-8620

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd